140641920 has 160 divisors (see below), whose sum is σ = 502442820. Its totient is φ = 37490688.

The previous prime is 140641903. The next prime is 140641927. The reversal of 140641920 is 29146041.

140641920 is a `hidden beast` number, since 14 + 0 + 641 + 9 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 131056704 + 9585216 = 11448^2 + 3096^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×140641920² = 39560299322572800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (140641927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 50484 + ... + 53196.

Almost surely, 2^140641920 is an apocalyptic number.

140641920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 140641920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251221410).

140641920 is an abundant number, since it is smaller than the sum of its proper divisors (361800900).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

140641920 is an equidigital number, since it uses as much as digits as its factorization.

140641920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2744 (or 2723 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 140641920 is about 11859.2546140135. The cubic root of 140641920 is about 520.0418112337.

Adding to 140641920 its reverse (29146041), we get a palindrome (169787961).

The spelling of 140641920 in words is "one hundred forty million, six hundred forty-one thousand, nine hundred twenty".